Whakaoti i te y=3-2x/3+2x

$$y = \frac { 3 - 2 x } { 3 + 2 x }$$

Whakaoti mō x

$$x=-\frac{3\left(y-1\right)}{2\left(y+1\right)}$$

$$y\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -\frac{3}{2} nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2x+3.

$$y\left(2x+3\right)=3-2x$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te 2x+3.

$$2yx+3y=3-2x$$

Me tāpiri te 2x ki ngā taha e rua.

$$2yx+3y+2x=3$$

Tangohia te 3y mai i ngā taha e rua.

$$2yx+2x=3-3y$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(2y+2\right)x=3-3y$$

Whakawehea ngā taha e rua ki te 2y+2.

$$\frac{\left(2y+2\right)x}{2y+2}=\frac{3-3y}{2y+2}$$

Mā te whakawehe ki te 2y+2 ka wetekia te whakareanga ki te 2y+2.

$$x=\frac{3-3y}{2y+2}$$

Whakawehe 3-3y ki te 2y+2.

$$x=\frac{3\left(1-y\right)}{2\left(y+1\right)}$$

Tē taea kia ōrite te tāupe x ki -\frac{3}{2}.

$$x=\frac{3\left(1-y\right)}{2\left(y+1\right)}\text{, }x\neq -\frac{3}{2}$$

Whakaoti mō y

$$y=-\frac{2x-3}{2x+3}$$

$$x\neq -\frac{3}{2}$$